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FAQs on Conductance - Additional Documents & Tests for IIT JAM

1. What is conductance in the context of IIT JAM?
Ans. Conductance, in the context of IIT JAM, refers to a measure of a material's ability to conduct electric current. It is the reciprocal of resistance and is quantified using the unit "siemens" (S). Conductance depends on various factors such as the type of material, its dimensions, and temperature. It plays a crucial role in understanding the electrical properties of materials and is an important concept tested in the IIT JAM exam.
2. How is conductance different from resistance?
Ans. Conductance and resistance are inversely related to each other. While resistance measures the opposition to the flow of electric current in a material, conductance measures the ease with which the current can flow. Conductance is the reciprocal of resistance, i.e., Conductance = 1/Resistance. Therefore, a material with high resistance will have low conductance, and vice versa. Both conductance and resistance are important concepts in electrical circuits and are extensively covered in the IIT JAM exam.
3. What are the factors that affect the conductance of a material?
Ans. Several factors influence the conductance of a material. Some of the primary factors include: - Type of material: Different materials have different conductive properties. Conductors, such as metals, have high conductance, while insulators have low conductance. - Dimensions of the material: Conductance is directly proportional to the cross-sectional area of the material and inversely proportional to its length. A thicker and shorter material will have higher conductance. - Temperature: In most materials, conductance decreases with an increase in temperature. This is due to the increased scattering of charge carriers. Understanding these factors is crucial for analyzing the conductance of materials, which is often tested in the IIT JAM exam.
4. How is conductance related to the conductivity of a material?
Ans. Conductance and conductivity are closely related concepts. Conductivity is a material property that measures the ability of a material to conduct electric current. It is the product of the conductance and the cross-sectional area of the material, divided by its length. Mathematically, Conductivity = Conductance × (Area/Length). Therefore, conductance can be calculated by dividing the conductivity of a material by its dimensions. Both conductance and conductivity are fundamental concepts in electrical engineering and are important for solving problems in the IIT JAM exam.
5. Can you provide an example of how conductance is calculated?
Ans. Sure! Let's consider a cylindrical wire with a length of 2 meters and a cross-sectional area of 0.01 square meters. The wire has a conductivity of 5 siemens per meter (S/m). To calculate the conductance, we can use the formula Conductance = Conductivity × (Area/Length). Plugging in the values, Conductance = 5 S/m × (0.01 m^2 / 2 m) = 0.025 S. Therefore, the conductance of the wire is 0.025 siemens. This example demonstrates how conductance can be calculated using the conductivity and dimensions of a material, and similar calculations can be expected in the IIT JAM exam.
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